How do you solve #6^x=13#?

1 Answer
Jim G.
Oct 28, 2016

#x≈1.432" to 3 decimal places"#

Explanation:

Using the #color(blue)"law of logarithms"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(loga^n=nloga)color(white)(2/2)|)))#

#6^x=13#

Take the ln ( natural log ) of both sides.

#rArrln6^x=ln13#

#rArrxln6=ln13#

#rArrx=ln13/ln6≈1.432" to 3 decimal places"#

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